Find the maximum and minimum values of the function and the values of x and y where they occur. F = 5x + 36y, subject to 9x + 7y ≤ 44, 7x+9y ≤ 36, x ≥ 0, y ≥ 0.

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
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Chapter2: Second-order Linear Odes
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Find the maximum and minimum values of the function
and the values of x and y where they occur.
F = 5x + 36y, subject to
9x + 7y ≤ 44,
7x +9y ≤ 36,
x ≥ 0,
y ≥ 0.
What is the maximum value of the function?
(Simplify your answer.)
Where does the maximum value occur?
(Simplify your answer. Type an ordered pair.)
What is the minimum value of the function?
(Simplify your answer.)
Where does the minimum value occur?
(Simplify your answer. Type an ordered pair.)
Transcribed Image Text:Find the maximum and minimum values of the function and the values of x and y where they occur. F = 5x + 36y, subject to 9x + 7y ≤ 44, 7x +9y ≤ 36, x ≥ 0, y ≥ 0. What is the maximum value of the function? (Simplify your answer.) Where does the maximum value occur? (Simplify your answer. Type an ordered pair.) What is the minimum value of the function? (Simplify your answer.) Where does the minimum value occur? (Simplify your answer. Type an ordered pair.)
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